Answer
$AgCl$ isn't more soluble in acidic solution than in pure water, because there are no significant bases in the ionic compound.
Work Step by Step
1. Identify the acidity/basicity of each ion in the compound:
- $Ag^{+}$: No significant acidity/basicity;
- $Cl^{-}$: No significant acidity/basicity. (It is the conjugate pair of a Strong acid ($HCl$))
- Since we don't have any significant acid/base, the acidity of the solution will not affect the solubility of the compound.